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Finding the Third Proportional to 17,770 and 27,515.50

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Solution

The third proportional to 17,770 and 27,515.50 is: 42,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770 : 27,515.50 = 27,515.50 : x
  2. Step 2: Convert to fraction form
    17,770/27,515.50 = 27,515.50/x
  3. Step 3: Cross multiply
    17,770x = 27,515.50 × 27,515.50
  4. Step 4: Simplify right side
    17,770x = 757,102,740.25
  5. Step 5: Solve for x
    x = 757,102,740.25/17,770
  6. Step 6: Final answer
    x = 42,605.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.